from a handpicked tutor in LIVE 1-to-1 classes

# The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. If the ladder is shifted in such a way that its foot is 8 m away from the wall, to what height does its top reach?

**Solution:**

Given, the foot of a ladder is 6 m away from its wall.

The top of the ladder reaches a window 8 m above the ground.

We have to find the height the top of the ladder will reach, if the ladder is shifted in such a way that its foot is 8 m away from the wall.

According to the question,

Distance between the top of ladder to the ground, AC = 10 m

Distance between foot of the ladder to the bottom of wall, BC = 8 m

In __right angled triangle__ ABC,

AC² = AB² + BC²

10² = AB² + 8²

AB² = 100 - 64

AB² = 36

Taking __square root__,

AB = 6 m

Therefore, the height of the top is 6m.

**✦ Try This: **The foot of a ladder is 8 m away from its wall and its top reaches a window 11 m above the ground. If the ladder is shifted in such a way that its foot is 10 m away from the wall, to what height does its top reach?

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 6

**NCERT Exemplar Class 7 Maths Chapter 6 Problem 157 (b)**

## The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. If the ladder is shifted in such a way that its foot is 8 m away from the wall, to what height does its top reach

**Summary:**

The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. If the ladder is shifted in such a way that its foot is 8 m away from the wall, the height its top reaches is 6 m.

**☛ Related Questions:**

- Two poles of 10 m and 15 m stand upright on a plane ground. If the distance between the tops is 13 m . . . .
- The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. Fi . . . .
- In Fig. 6.57, state the three pairs of equal parts in ∆ABC and ∆EOD. Is ∆ABC ≅ ∆ EOD? Why

visual curriculum